Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that men have heights between 64 and 78 inches. Find
The percent of men meeting these height requirements.
A)96.26%
B)3.67%
C)99.93%
D)31.12%

Question

Quizplus · Accepted Answer

To find the percentage of men meeting the height requirements, calculate the z-scores for 64 and 78 inches, then find the area between these z-scores using the standard normal distribution. The z-score for 64 inches is (64-69)/2.8 = -1.79, and for 78 inches is (78-69)/2.8 = 3.21. The area between these z-scores corresponds to approximately 96.26% of the distribution.

Assume That the Heights of American Men Are Normally Distributed